THE QUANTITATIVE DISTRIBUTION OF HECKE EIGENVALUES

THE QUANTITATIVE DISTRIBUTION OF HECKE EIGENVALUES
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DOI:
10.1017/s0004972714000070
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发表时间:
2014-04
影响因子:
0.7
通讯作者:
Yingnan Wang
Yingnan Wang
中科院分区:
数学4区
文献类型:
--
作者:
Yingnan Wang

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本文证明了原始Maass型的Sato-Tate猜想平均成立。我们还调查的收敛速度在Sato-Tate猜想,并建立一些估计的差异相对于Sato-Tate措施的平均原始马斯形式。
Abstract In this paper, we prove that the Sato–Tate conjecture for primitive Maass forms holds on average. We also investigate the rate of convergence in the Sato–Tate conjecture and establish some estimates of the discrepancy with respect to the Sato–Tate measure on the average of primitive Maass forms.